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Finding the Third Proportional to 250,285.57 and 518,313.94

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Solution

The third proportional to 250,285.57 and 518,313.94 is: 1,073,371.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,285.57 : 518,313.94 = 518,313.94 : x
  2. Step 2: Convert to fraction form
    250,285.57/518,313.94 = 518,313.94/x
  3. Step 3: Cross multiply
    250,285.57x = 518,313.94 × 518,313.94
  4. Step 4: Simplify right side
    250,285.57x = 268,649,337,806.75
  5. Step 5: Solve for x
    x = 268,649,337,806.75/250,285.57
  6. Step 6: Final answer
    x = 1,073,371.26

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.